SOLUTION: -3x-9+7x=3x+6x

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Question 21435: -3x-9+7x=3x+6x
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=-1.8.
  • Graphical form: Equation -3x-9%2B7x=3x%2B6x was fully solved.
  • Text form: -3x-9+7x=3x+6x simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-3x-9%2B7x=3x%2B6x+%29
    For tutors: simplify_cartoon( -3x-9+7x=3x+6x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at -3%2Ax-highlight_red%28+9+%29%2B7%2Ax=3x%2B6x.
Moved -9 to the right of expression
It becomes -3%2Ax%2B7%2Ax-highlight_green%28+9+%29=3x%2B6x.
Look at -highlight_red%28+3%2Ax+%29%2Bhighlight_red%28+7%2Ax+%29-9=3x%2B6x.
Eliminated similar terms highlight_red%28+-3%2Ax+%29,highlight_red%28+7%2Ax+%29 replacing them with highlight_green%28+%28-3%2B7%29%2Ax+%29
It becomes highlight_green%28+%28-3%2B7%29%2Ax+%29-9=3x%2B6x.
Look at %28-highlight_red%28+3+%29%2Bhighlight_red%28+7+%29%29%2Ax-9=3x%2B6x.
Added fractions or integers together
It becomes %28highlight_green%28+4+%29%29%2Ax-9=3x%2B6x.
Look at highlight_red%28+%28highlight_red%28+4+%29%29%2Ax+%29-9=3x%2B6x.
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes highlight_green%28+4+%29%2Ax-9=3x%2B6x.
Look at 4%2Ax-9=highlight_red%28+3%2Ax+%29%2Bhighlight_red%28+6%2Ax+%29.
Eliminated similar terms highlight_red%28+3%2Ax+%29,highlight_red%28+6%2Ax+%29 replacing them with highlight_green%28+%283%2B6%29%2Ax+%29
It becomes 4%2Ax-9=highlight_green%28+%283%2B6%29%2Ax+%29.
Look at 4%2Ax-9=%28highlight_red%28+3+%29%2Bhighlight_red%28+6+%29%29%2Ax.
Added fractions or integers together
It becomes 4%2Ax-9=%28highlight_green%28+9+%29%29%2Ax.
Look at 4%2Ax-9=highlight_red%28+%28highlight_red%28+9+%29%29%2Ax+%29.
Remove unneeded parentheses around factor highlight_red%28+9+%29
It becomes 4%2Ax-9=highlight_green%28+9+%29%2Ax.
Look at 4%2Ax-9=highlight_red%28+9%2Ax+%29.
Moved these terms to the left highlight_green%28+-9%2Ax+%29
It becomes 4%2Ax-9-highlight_green%28+9%2Ax+%29=0.
Look at 4%2Ax-highlight_red%28+9+%29-9%2Ax=0.
Moved -9 to the right of expression
It becomes 4%2Ax-9%2Ax-highlight_green%28+9+%29=0.
Look at highlight_red%28+4%2Ax+%29-highlight_red%28+9%2Ax+%29-9=0.
Eliminated similar terms highlight_red%28+4%2Ax+%29,highlight_red%28+-9%2Ax+%29 replacing them with highlight_green%28+%284-9%29%2Ax+%29
It becomes highlight_green%28+%284-9%29%2Ax+%29-9=0.
Look at %28highlight_red%28+4+%29-highlight_red%28+9+%29%29%2Ax-9=0.
Added fractions or integers together
It becomes %28highlight_green%28+-5+%29%29%2Ax-9=0.
Look at %28highlight_red%28+-5+%29%29%2Ax-9=0.
Removed extra sign in front of -5
It becomes %28-highlight_green%28+5+%29%29%2Ax-9=0.
Look at highlight_red%28+%28-highlight_red%28+5+%29%29%2Ax+%29-9=0.
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes -highlight_green%28+5+%29%2Ax-9=0.
Look at highlight_red%28+-5%2Ax-9+%29=0.
Solved linear equation highlight_red%28+-5%2Ax-9=0+%29 equivalent to -5*x-9 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-1.8.

Universal Simplifier and Solver


Done!

Hope this helps!